Too Many Angles, Too Little Information

Geometry Level 2

In a triangle ABCABC, the measures of the angles are A=30,\angle A=30^\circ, B=80.\angle B=80^\circ. Point MM lies inside the triangle, such that MAC=10,\angle MAC = 10^\circ, MCA=30.\angle MCA = 30^\circ. What is the measure (in degrees) of BMC?\angle BMC?

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